Here is the full list of all 15 Blaster Master Zero achievements.
Clear Boss Blaster Mode.
See the true ending on Destroyer Mode.
Summon SOPHIA-III from a retry point.
See the true ending.
Defeat the boss of Area 7 with a FULL ACCELERATION BLAST.
Obtain every key item.
See the normal ending.
Defeat the boss of Area 8.
Defeat the boss of Area 7.
Defeat the boss of Area 6.
Defeat the boss of Area 5.
Defeat the boss of Area 4.
Defeat the boss of Area 3.
Defeat the boss of Area 2.
Defeat the boss of Area 1.